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- W2258130872 abstract "A projection method is proposed to treat the one-dimensional Schrodinger equation for a single particle when the generalized uncertainty principle (GUP) generates an ultraviolet (UV) wave-vector cutoff. The existence of a unique coordinate representation called the naive one is derived from the one-parameter family of discrete coordinate representations. In this bandlimited quantum mechanics a continuous potential is reconstructed from discrete sampled values observed by means of a particle in maximally localized states. It is shown that bandlimitation modifies the speed of the center and the spreading time of a Gaussian wave packet moving in free space. Indication is found that GUP accompanied by bandlimitation may cause departures of the low-lying energy levels of a particle in a box from those in ordinary quantum mechanics to be much less suppressed than commonly thought when GUP without bandlimitation is at work." @default.
- W2258130872 created "2016-06-24" @default.
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- W2258130872 date "2013-04-22" @default.
- W2258130872 modified "2023-09-25" @default.
- W2258130872 title "Some consequences of the generalized uncertainty principle induced ultraviolet wave-vector cutoff in one-dimensional quantum mechanics" @default.
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- W2258130872 doi "https://doi.org/10.1103/physrevd.87.084056" @default.
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